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538673157632 = 2931107419757
BaseRepresentation
bin1111101011010110110…
…11000001011000000000
31220111102001120200012002
413311223123001120000
532311200312021012
61051244003123132
753626552202141
oct7655333013000
91814361520162
10538673157632
111984a4a551a5
12884946734a8
133ba483576bc
141c1014c3ac8
15e02adc67c2
hex7d6b6c1600

538673157632 has 160 divisors (see below), whose sum is σ = 1125557959680. Its totient is φ = 257255792640.

The previous prime is 538673157613. The next prime is 538673157689. The reversal of 538673157632 is 236751376835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711588998 + ... + 711589754.

It is an arithmetic number, because the mean of its divisors is an integer number (7034737248).

Almost surely, 2538673157632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538673157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562778979840).

538673157632 is an abundant number, since it is smaller than the sum of its proper divisors (586884802048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

538673157632 is a wasteful number, since it uses less digits than its factorization.

538673157632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1316 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 56.

The spelling of 538673157632 in words is "five hundred thirty-eight billion, six hundred seventy-three million, one hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 107 124 128 214 248 256 419 428 496 512 757 838 856 992 1514 1676 1712 1984 3028 3317 3352 3424 3968 6056 6634 6704 6848 7936 12112 12989 13268 13408 13696 15872 23467 24224 25978 26536 26816 27392 44833 46934 48448 51956 53072 53632 54784 80999 89666 93868 96896 103912 106144 107264 161998 179332 187736 193792 207824 212288 214528 317183 323996 358664 375472 387584 415648 424576 634366 647992 717328 750944 831296 849152 1268732 1295984 1389823 1434656 1501888 1662592 1698304 2510969 2537464 2591968 2779646 2869312 3003776 3325184 5021938 5074928 5183936 5559292 5738624 6007552 6650368 9832673 10043876 10149856 10367872 11118584 11477248 12015104 19665346 20087752 20299712 20735744 22237168 22954496 33938581 39330692 40175504 40599424 41471488 44474336 67877162 78661384 80351008 81198848 88948672 135754324 157322768 160702016 162397696 177897344 271508648 314645536 321404032 355794688 543017296 629291072 642808064 711589376 1052096011 1086034592 1258582144 1285616128 2104192022 2172069184 2517164288 4208384044 4344138368 5034328576 8416768088 8688276736 16833536176 17376553472 33667072352 67334144704 134668289408 269336578816 538673157632